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Finding the Fourth Proportional to 21,466.25, 32,176.64 and 7,221.16

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Solution

The fourth proportional to 21,466.25, 32,176.64 and 7,221.16 is: 10,824.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,466.25 : 32,176.64 = 7,221.16 : x
  2. Step 2: Convert to fraction form
    21,466.25/32,176.64 = 7,221.16/x
  3. Step 3: Cross multiply
    21,466.25x = 32,176.64 × 7,221.16
  4. Step 4: Simplify right side
    21,466.25x = 232,352,665.70
  5. Step 5: Solve for x
    x = 232,352,665.70/21,466.25
  6. Step 6: Final answer
    x = 10,824.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.